Comptes Rendus
no. 5
Algèbre homologique, Géométrie algébrique
Descent for coherent sheaves along formal/open coverings
Fritz Hörmann1
1 Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Germany
Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 577-594.

For a regular Noetherian scheme X with a divisor with strict normal crossings D we prove that coherent sheaves satisfy descent w.r.t. the “covering” consisting of the open parts in the various completions of X along the components of D and their intersections.

Reçu le :
Révisé le :
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DOI : 10.5802/crmath.75
Classification : 14C20, 14B20, 18F20, 13J10
Fritz Hörmann 1

1 Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Descent for coherent sheaves along formal/open coverings},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {577--594},
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     volume = {358},
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     year = {2020},
     doi = {10.5802/crmath.75},
     language = {en},
}
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Fritz Hörmann. Descent for coherent sheaves along formal/open coverings. Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 577-594. doi : 10.5802/crmath.75. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.75/

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